It is shown that remarkable spectral changes take place in the neighborhood of phase singularities near the focus of a converging, spatially fully coherent polychromatic wave diffracted at an aperture. In particular, when the spectrum of the wave in the aperture consists of a single line with a narrow Gaussian profile, the spectrum near a phase singularity (i.e., near points of zero intensity o...

Substrate guided-wave (SGW) holograms are recorded by guiding the reference wave to the hologram using an optical substrate.1'2 As compared to conventional holographic recording systems, SGW systems are compact, portable, robust, and easy to align. Since the illuminating beam is encapsulated within the substrate and only the holographic image is diffracted, the hologram can be viewed close to t...

What we believe to be a new type of resonant coupling of an incident bulk wave into guided modes of a slab with a thick holographic grating is shown to occur in the presence of strong frequency detunings of the Bragg condition. This happens through the reflection of the strongly noneigen +1 diffracted order with the slab-grating boundaries, the resultant reflected waves forming a guided slab mo...

In this paper we derive an expression for the point source Green's function for the reduced wave equation, valid in an angular sector whose angle is equal to a rational multiple of 77. This Green's function can be used to find new expressions for the field produced by the diffraction of a spherical wave by a wedge whose angle can be expressed as a rational multiple of n. The expressions obtaine...

In this paper we address the issue of a creeping wave by investigating a twodimensional configuration which involves a surface-braking crack in a traction free planar backwall. We assume that this back-wall is irradiated by a shear Gaussian beam which is incident at a critical angle and hits the wall away from the crack edge. We show that the generated wave known in the engineering literature a...

With the aid of equations (72) and (76) we can determine the horizontal displacement q(t), using its operational representation given in equation (65). 4. Summary.-An exact solution is given for the motion of the surface of a uniform elastic half-space produced by a point pressure pulse situated at a depth H below the surface. The time variation of the pressure pulse is assumed to be given by t...

We report experimental results with a reflective continuous anisotropic polarizing diffraction-grating beam splitter that produces three diffraction orders. The diffraction efficiencies and polarizations of the diffracted orders are controlled through the incoming polarization state and by use of a wave plate with arbitrary orientation located between the grating and a mirror. In particular, we...